数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (1): 83-89.

• 论文 • 上一篇    下一篇

A C.NEUMANN SYSTEM AND THE INVOLUTIVE REPRESENTATION OF THE SOLUTION OF HIERARCHY FOR THE COUPLED NONLINEAR WAVE EQUATION

张保才, 顾祝全   

  1. Shijiazhuang Railway Institute, Shijiazhuang 050043, China
  • 收稿日期:1990-04-20 修回日期:1992-10-04 出版日期:1995-03-25 发布日期:1995-03-25

A C.NEUMANN SYSTEM AND THE INVOLUTIVE REPRESENTATION OF THE SOLUTION OF HIERARCHY FOR THE COUPLED NONLINEAR WAVE EQUATION

Zhang Baocai, Gu Zhuquan   

  1. Shijiazhuang Railway Institute, Shijiazhuang 050043, China
  • Received:1990-04-20 Revised:1992-10-04 Online:1995-03-25 Published:1995-03-25

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摘要： In this Paper,the Lax representation for the coupled nonlinear wave equation hierarchy is Obtained.and the nonlinear constraint between the potential and eigenfunctions of eigenvalue problem is introduced,a complete integrable C.Neumann system is led.Finally.as a result,the solutions of the coupled nonlinear wave equation hierarchy are obtained by using the involutive representation for the commutable flows.

Abstract: In this Paper,the Lax representation for the coupled nonlinear wave equation hierarchy is Obtained.and the nonlinear constraint between the potential and eigenfunctions of eigenvalue problem is introduced,a complete integrable C.Neumann system is led.Finally.as a result,the solutions of the coupled nonlinear wave equation hierarchy are obtained by using the involutive representation for the commutable flows.

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